Abstract
We investigate horizontal conformality of a differential of a map between Riemannian manifolds, where the tangent bundles are equipped with Cheeger–Gromoll-type metrics. As a corollary, we characterize the differential of a map as a harmonic morphism.
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Kozłowski, W., Niedziałomski, K. Differential as a harmonic morphism with respect to Cheeger–Gromoll-type metrics. Ann Glob Anal Geom 37, 327–337 (2010). https://doi.org/10.1007/s10455-009-9187-3
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DOI: https://doi.org/10.1007/s10455-009-9187-3